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Jan 27, 2016 12:11 PM in response to Spiritdancer7by razmee209,★HelpfulTransfer content from an iPhone, iPad, or iPod touch to a new device - Apple Support
Pictures in your camera roll and app data are part of the iTunes backup.
Apps aren't part of it.
From what your describing doesn't sound like you backed up your 5S.
Plug the 5S back in and do the backup again, follow the link provided.